Answer:
Here,
length = 8m
height = 4m
4s = 15 per m^2
Now,
300 per meter = 300 * 15 per m^2
= 4500 per m^2
<h2>
[A] Plane S contains points B and E.</h2>
False
As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.
<h2>
[B] The line containing points A and B lies entirely in plane T.</h2>
True
As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.
<h2>
[C] Line v intersects lines x and y at the same point.</h2>
False
As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.
<h2>
[D] Line z intersects plane S at point C.</h2>
True
As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.
<h2>
[E] Planes R and T intersect at line y.</h2>
True
As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.
Attached the solution with work shown.
Answer:
The volume of the prism B will double
Step-by-step explanation:
Solution for 47 is what percent of 61:
47:61*100 =
(47*100):61 =
4700:61 = 77.05
Now we have: 47 is what percent of 61 = 77.05
Question: 47 is what percent of 61?
Percentage solution with steps:
Step 1: We make the assumption that 61 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=61$100%=61.
Step 4: In the same vein, $x\%=47$x%=47.
Step 5: This gives us a pair of simple equations:
$100\%=61(1)$100%=61(1).
$x\%=47(2)$x%=47(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{61}{47}$
100%
x%=
61
47
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{47}{61}$
x%
100%=
47
61
$\Rightarrow x=77.05\%$⇒x=77.05%
Therefore, $47$47 is $77.05\%$77.05% of $61$61.